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Simplifying 12 + x2 + -180 = (10 + x)(x + -2) Reorder the terms: 12 + -180 + x2 = (10 + x)(x + -2) Combine like terms: 12 + -180 = -168 -168 + x2 = (10 + x)(x + -2) Reorder the terms: -168 + x2 = (10 + x)(-2 + x) Multiply (10 + x) * (-2 + x) -168 + x2 = (10(-2 + x) + x(-2 + x)) -168 + x2 = ((-2 * 10 + x * 10) + x(-2 + x)) -168 + x2 = ((-20 + 10x) + x(-2 + x)) -168 + x2 = (-20 + 10x + (-2 * x + x * x)) -168 + x2 = (-20 + 10x + (-2x + x2)) Combine like terms: 10x + -2x = 8x -168 + x2 = (-20 + 8x + x2) Add '-1x2' to each side of the equation. -168 + x2 + -1x2 = -20 + 8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -168 + 0 = -20 + 8x + x2 + -1x2 -168 = -20 + 8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -168 = -20 + 8x + 0 -168 = -20 + 8x Solving -168 = -20 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -168 + -8x = -20 + 8x + -8x Combine like terms: 8x + -8x = 0 -168 + -8x = -20 + 0 -168 + -8x = -20 Add '168' to each side of the equation. -168 + 168 + -8x = -20 + 168 Combine like terms: -168 + 168 = 0 0 + -8x = -20 + 168 -8x = -20 + 168 Combine like terms: -20 + 168 = 148 -8x = 148 Divide each side by '-8'. x = -18.5 Simplifying x = -18.5
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